Algebras of one-sided subshifts over arbitrary alphabets

被引：1

作者：

Boava, Giuliano ^{[1
]}

de Castro, Gilles G. ^{[1
]}

Goncalves, Daniel ^{[1
]}

van Wyk, Daniel W. ^{[2
,3
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040970 Florianopolis, SC, Brazil

[2] Fairfield Univ, Dept Math, Fairfield, CT 06825 USA

[3] Univ Free State, Dept Math & Appl Math, Pk West, ZA-9381 Bloemfontein, South Africa

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 03期

关键词：

shift spaces; subshifts; infinite alphabets; groupoid algebras; Leavitt path algebras; partial skew group rings; LEAVITT PATH ALGEBRAS; C-ASTERISK-ALGEBRAS; CONTINUOUS ORBIT EQUIVALENCE; SHIFT SPACES;

D O I：

10.4171/RMI/1457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital, and the other not necessarily. We focus on the unital case and describe a conjugacy between Ott-Tomforde-Willis subshifts in terms of a homeomorphism between the Stone duals of suitable Boolean algebras, and in terms of a diagonal -preserving isomorphism of the associated unital algebras. For this, we realise the unital algebra associated with a subshift as a groupoid algebra and a partial skew group ring.

引用

页码：1045 / 1088

页数：44

共 46 条

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